The Essential Norm of Operators on $A_{\alpha }^p({\mathbb{B}}_n)$

Mishko Mitkovski, Daniel Suárez, Brett D. Wick

In this paper we characterize the compact operators on $A_{\alpha }^p({\mathbb{B}}_n)$ when $1<p<\infty$ and $\alpha >-1$. The main result shows that an operator on $A_{\alpha }^p({\mathbb{B}}_n)$ is compac…